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torisob [31]
2 years ago
13

What’s the inverse of F(x)=x^3 +7 ?

Mathematics
2 answers:
NARA [144]2 years ago
7 0

Answer:

y = (x - 7)^(1/3)

Step-by-step explanation:

Notice that f(x) is a monotonically increasing function (so it has an inverse along the domain \mathbb{R}\rightarrow \mathbb{R}.

To find the inverse, we interchange the variables and solve for y.

So interchanging the variables gives us:

x = y^3 + 7.

We then solve for y, giving us:

x - 7 = y^3

y = (x - 7)^(1/3).

dexar [7]2 years ago
4 0

f−1(x)=3√7+x

Is the answer



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